Question

Compare the area of a rectangle of length 10.5/7 m and breadth 5.1/5 m with that a square of side 8.2/7 m

Answer 1

GIVEN:

• Length of rectangle = 10.5/7 m
• Breadth of rectangle = 5.1/5 m
• Side of square = 8.2/7 m

TO FIND:

• Compare the area of rectangle and square.

SOLUTION:

Firstly, we have to find the area of rectangle

We know that the formula for finding the area of rectangle is:-

$\large{\boxed{\bf{\star \: AREA = Length \times Breadth \: \star}}}$

According to question:-

$\rm{\hookrightarrow Area = \dfrac{10.5}{7} \times \dfrac{5.1}{5} }$

$\rm{\hookrightarrow Area = 1.5 \times 1.02 }$

$\bf{\hookrightarrow Area = 1.53 \: m^2 }$

• Area of rectangle = 1.53 m²

We know that the formula for finding the area of square is:-

$\large{\boxed{\bf{\star \: AREA = (Side)^2 \: \star}}}$

According to question:-

$\rm{\hookrightarrow Area = \bigg( \dfrac{8.2}{7} \bigg)^2 }$

$\rm{\hookrightarrow AREA = \cancel\dfrac{67.24}{49}}$

$\bf{\hookrightarrow AREA = 1.37 \: m^2}$

Comparison between both areas:-

【Area of rectangle = Area of square 】

$\large{\boxed{\bf{\star \: 1.53 \: m^2 = 1.37 \: m^2 \: \star}}}$

______________________

Answer 2

Step-by-step explanation:

kindly refer to attachment